\newproblem{lay:3_2_33}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 3.2.33}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Let $A$ and $B$ square matrices. Show that even though $AB$ and $BA$ may not be equal, it is always true that
	$\det\{AB\}=\det\{BA\}$
}{
   % Solution
	By applying properties of the determinants
	\begin{center}
		$\det\{AB\}=\det\{BA\}$ \\
		$\det\{A\}\det\{B\}=\det\{B\}\det\{A\}$ \\
	\end{center}
}
\useproblem{lay:3_2_33}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
